If you go camping at Black Rock City for burning man, then you need to keep your bed off the ground. The location is very dusty, and having a cot or tall air mattress makes all the difference. I recommend adding a sheet into your camping gear to put over your bedding when you are not sleeping. I like the cot as opposed to an air mattress because you can also put things under a cot and it does not need to be inflated. In addition to the bed, I would add a layer of paddings such as a yoga matt, inflating mat, or memory foam. I have two yoga mats plus a couple sheets and a sleeping bag and pillow. The nights can get really cold out on the playa, so make sure you get one that is for low temperatures.
The Coleman Trailhead II Cot is currently the best seller in camping cots on amazon. It’s an affordable one and it’s the kind I have used. It’s been durable but it’s a little heavy and might not fit so easily in a bike trailer! The MalloMe Camping Sleeping Bag, also an amazon favorite, is good for 3 seasons and would be good for all kinds of camping trips.